TSTP Solution File: GEO257+3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:55:58 EDT 2023
% Result : Theorem 3.84s 4.14s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:43:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.84/4.14 SZS status Theorem for theBenchmark.p
% 3.84/4.14 SZS output start Proof for theBenchmark.p
% 3.84/4.14 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.84/4.14 Clause #36 (by assumption #[]): Eq
% 3.84/4.14 (Not
% 3.84/4.14 (∀ (L A B C D : Iota),
% 3.84/4.14 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) →
% 3.84/4.14 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C))
% 3.84/4.14 True
% 3.84/4.14 Clause #163 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True
% 3.84/4.14 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 3.84/4.14 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False
% 3.84/4.14 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.84/4.14 Clause #296 (by clausification #[36]): Eq
% 3.84/4.14 (∀ (L A B C D : Iota),
% 3.84/4.14 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) →
% 3.84/4.14 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C)
% 3.84/4.14 False
% 3.84/4.14 Clause #297 (by clausification #[296]): ∀ (a : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (Not
% 3.84/4.14 (∀ (A B C D : Iota),
% 3.84/4.14 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C))
% 3.84/4.14 True
% 3.84/4.14 Clause #298 (by clausification #[297]): ∀ (a : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (∀ (A B C D : Iota),
% 3.84/4.14 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C)
% 3.84/4.14 False
% 3.84/4.14 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (Not
% 3.84/4.14 (∀ (B C D : Iota),
% 3.84/4.14 And
% 3.84/4.14 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 3.84/4.14 (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) →
% 3.84/4.14 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C))
% 3.84/4.14 True
% 3.84/4.14 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (∀ (B C D : Iota),
% 3.84/4.14 And (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) →
% 3.84/4.14 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)
% 3.84/4.14 False
% 3.84/4.14 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (Not
% 3.84/4.14 (∀ (C D : Iota),
% 3.84/4.14 And
% 3.84/4.14 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.84/4.14 (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.14 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) →
% 3.84/4.14 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C))
% 3.84/4.14 True
% 3.84/4.14 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (∀ (C D : Iota),
% 3.84/4.14 And
% 3.84/4.14 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.84/4.14 (incident_point_and_line C (skS.0 0 a)))
% 3.84/4.14 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.14 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.14 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) →
% 3.84/4.14 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)
% 3.84/4.14 False
% 3.84/4.14 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.14 Eq
% 3.84/4.14 (Not
% 3.84/4.14 (∀ (D : Iota),
% 3.84/4.14 And
% 3.84/4.14 (And
% 3.84/4.15 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.84/4.15 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.84/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 True
% 3.84/4.15 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.15 Eq
% 3.84/4.15 (∀ (D : Iota),
% 3.84/4.15 And
% 3.84/4.15 (And
% 3.84/4.15 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.84/4.15 (left_apart_point D (skS.0 0 a)) →
% 3.84/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.84/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 False
% 3.84/4.15 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.84/4.15 Eq
% 3.84/4.15 (Not
% 3.84/4.15 (And
% 3.84/4.15 (And
% 3.84/4.15 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.84/4.15 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.84/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.84/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 True
% 3.84/4.15 Clause #306 (by clausification #[305]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.84/4.15 Eq
% 3.84/4.15 (And
% 3.84/4.15 (And
% 3.84/4.15 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.84/4.15 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.84/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.84/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.84/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 False
% 3.84/4.15 Clause #307 (by clausification #[306]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.84/4.15 Eq
% 3.84/4.15 (And
% 3.84/4.15 (And
% 3.84/4.15 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.84/4.15 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.84/4.15 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.84/4.15 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)))
% 3.84/4.15 True
% 3.84/4.15 Clause #309 (by clausification #[307]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) True
% 3.84/4.15 Clause #311 (by superposition #[309, 167]): Eq True False
% 3.84/4.15 Clause #333 (by clausification #[311]): False
% 3.84/4.15 SZS output end Proof for theBenchmark.p
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